> sage: desolve_laplace(DEiii, ["t","y"], [0,50,0])
> "?%ilt(-(1521*'laplace('y(t)^2*'diff('y(t),t,1),t,false)+3900*'laplace
> ('y(t)*'diff('y(t),t,1),t,false)+2500*sqrt(2)*'laplace(sqrt(g*'y
> (t)),t,false)-125000)/(2500*false),false,t)"
>

Looks like yet another Maxima expression we'll need to build into
Sage:

?%ilt

must be a nounform for inverse laplace transform that Maxima can't
give a closed form for.  I'm mystified by the "false" stuff, though -
David J. or Robert M., you guys understand the Maxima desolvers, any
ideas?

Of course, it would be worth seeing whether one of the other CASs can
solve this one exactly.

- kcrisman
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